메뉴 건너뛰기




Volumn 207, Issue 1, 2005, Pages 129-150

A nodal triangle-based spectral element method for the shallow water equations on the sphere

Author keywords

Dubiner; Electrostatics; Fekete; Finite element; Icosahedron; Jacobi; Koornwinder; Lagrange; Platonic solids; Polynomial; Proriol; Quadrilateral; Spherical geometry

Indexed keywords

DISSOCIATION; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; NUMERICAL ANALYSIS; POLYNOMIALS; PROTEINS; SPHERES; TENSORS;

EID: 18344391023     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.01.004     Document Type: Article
Times cited : (68)

References (32)
  • 1
    • 18344377274 scopus 로고    scopus 로고
    • AMATOS - Adaptive mesh generation for atmospheric and ocean simulations
    • Munich Technical University, Center for Mathematical Sciences, D-80290 Munich, Germany API Documentation version 1.2
    • J. Behrens, AMATOS - adaptive mesh generation for atmospheric and ocean simulations, Munich Technical University, Center for Mathematical Sciences, D-80290 Munich, Germany, 2002, API Documentation version 1.2
    • (2002)
    • Behrens, J.1
  • 2
    • 0040361115 scopus 로고    scopus 로고
    • The erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations
    • J. Boyd The erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations Houston Journal of Mathematics 1996
    • (1996) Houston Journal of Mathematics
    • Boyd, J.1
  • 4
    • 0033322064 scopus 로고    scopus 로고
    • Monomial cubature rules since Stroud: A compilation - Part 2
    • R. Cools Monomial cubature rules since Stroud: A compilation - Part 2 Journal of Computational and Applied Mathematics 112 1999 21-27
    • (1999) Journal of Computational and Applied Mathematics , vol.112 , pp. 21-27
    • Cools, R.1
  • 5
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • M. Dubiner Spectral methods on triangles and other domains Journal of Scientific Computing 6 1991 345-390
    • (1991) Journal of Scientific Computing , vol.6 , pp. 345-390
    • Dubiner, M.1
  • 6
    • 8744312833 scopus 로고    scopus 로고
    • An initial-value problem for testing numerical models of the global shallow water equations
    • J. Galewsky R.K. Scott L.M. Polvani An initial-value problem for testing numerical models of the global shallow water equations Tellus 56 2004 429-440
    • (2004) Tellus , vol.56 , pp. 429-440
    • Galewsky, J.1    Scott, R.K.2    Polvani, L.M.3
  • 7
    • 0001004448 scopus 로고    scopus 로고
    • Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
    • F.X. Giraldo Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations Journal of Computational Physics 160 2000 336-368
    • (2000) Journal of Computational Physics , vol.160 , pp. 336-368
    • Giraldo, F.X.1
  • 8
    • 0034233712 scopus 로고    scopus 로고
    • The Lagrange-Galerkin method for the 2D shallow water equations on adaptive grids
    • F.X. Giraldo The Lagrange-Galerkin method for the 2D shallow water equations on adaptive grids International Journal for Numerical Methods in Fluids 33 2000 789-832
    • (2000) International Journal for Numerical Methods in Fluids , vol.33 , pp. 789-832
    • Giraldo, F.X.1
  • 10
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • F.X. Giraldo J.S. Hesthaven T. Warburton Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations Journal of Computational Physics 181 2002 499-525
    • (2002) Journal of Computational Physics , vol.181 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 11
    • 0141850274 scopus 로고    scopus 로고
    • A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations
    • F.X. Giraldo J.B. Perot P.F. Fischer A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations Journal of Computational Physics 190 2003 623-650
    • (2003) Journal of Computational Physics , vol.190 , pp. 623-650
    • Giraldo, F.X.1    Perot, J.B.2    Fischer, P.F.3
  • 12
    • 85190146811 scopus 로고    scopus 로고
    • A spectral element Eulerian-Lagrangian atmospheric model
    • Munich Technical University, Garching, Germany, March
    • F.X. Giraldo, A spectral element Eulerian-Lagrangian atmospheric model, in: Proceedings of the Workshop on Shallow Water Models, Munich Technical University, Garching, Germany, March 2003
    • (2003) Proceedings of the Workshop on Shallow Water Models
    • Giraldo, F.X.1
  • 13
    • 1842587745 scopus 로고    scopus 로고
    • A scalable spectral element Eulerian atmospheric model for NWP: Dynamical core test
    • F.X. Giraldo T.E. Rosmond A scalable spectral element Eulerian atmospheric model for NWP: Dynamical core test Monthly Weather Review 132 2004 133-153
    • (2004) Monthly Weather Review , vol.132 , pp. 133-153
    • Giraldo, F.X.1    Rosmond, T.E.2
  • 15
    • 0036402163 scopus 로고    scopus 로고
    • The shallow water equations on the sphere and their Lagrange-Galerkin solution
    • T. Heinze A. Hense The shallow water equations on the sphere and their Lagrange-Galerkin solution Meteorology and Atmospheric Physics 81 2002 129-137
    • (2002) Meteorology and Atmospheric Physics , vol.81 , pp. 129-137
    • Heinze, T.1    Hense, A.2
  • 16
    • 0001030190 scopus 로고
    • Unstructured spectral element methods for simulation of turbulent flows
    • R.D. Henderson G.E. Karniadakis Unstructured spectral element methods for simulation of turbulent flows Journal of Computational Physics 122 1995 191-217
    • (1995) Journal of Computational Physics , vol.122 , pp. 191-217
    • Henderson, R.D.1    Karniadakis, G.E.2
  • 17
    • 0000185847 scopus 로고    scopus 로고
    • From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex
    • J.S. Hesthaven From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex SIAM Journal on Numerical Analysis 35 1998 655-676
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , pp. 655-676
    • Hesthaven, J.S.1
  • 19
    • 0002095317 scopus 로고
    • Two-variable analogues of the classical orthogonal polynomials
    • R. Askey (Ed.) Academic Press San Diego
    • T. Koornwinder Two-variable analogues of the classical orthogonal polynomials in: R. Askey (Ed.) Theory and Applications of Special Functions 1975 Academic Press San Diego
    • (1975) Theory and Applications of Special Functions
    • Koornwinder, T.1
  • 21
    • 0039298687 scopus 로고
    • A survey of numerical cubature over triangles
    • J. Lyness R. Cools A survey of numerical cubature over triangles Applied Mathematics 48 1994 127-150
    • (1994) Applied Mathematics , vol.48 , pp. 127-150
    • Lyness, J.1    Cools, R.2
  • 22
    • 0035618464 scopus 로고    scopus 로고
    • Higher-order mass-lumped finite elements for the wave equation
    • W.A. Mulder Higher-order mass-lumped finite elements for the wave equation Journal of Computational Acoustics 9 2000 671-680
    • (2000) Journal of Computational Acoustics , vol.9 , pp. 671-680
    • Mulder, W.A.1
  • 23
    • 3042777494 scopus 로고    scopus 로고
    • Spectral element methods on triangles and quadrilaterals: Comparisons and applications
    • R. Pasquetti F. Rapetti Spectral element methods on triangles and quadrilaterals: Comparisons and applications Journal of Computational Physics 198 2004 349-362
    • (2004) Journal of Computational Physics , vol.198 , pp. 349-362
    • Pasquetti, R.1    Rapetti, F.2
  • 24
    • 0001655705 scopus 로고
    • Sur une famille de polynomes á deux variables orthogonaux dans un triangle
    • J. Proriol Sur une famille de polynomes á deux variables orthogonaux dans un triangle Comptus Rendus de L Academie des Sciences Paris 257 1957 2459
    • (1957) Comptus Rendus De L Academie Des Sciences Paris , vol.257 , pp. 2459
    • Proriol, J.1
  • 25
    • 0031221068 scopus 로고    scopus 로고
    • Algorithm 772. STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere
    • R.J. Renka Algorithm 772. STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere ACM Transactions on Mathematical Software 23 1997 416-434
    • (1997) ACM Transactions on Mathematical Software , vol.23 , pp. 416-434
    • Renka, R.J.1
  • 26
    • 0029412889 scopus 로고
    • A triangular spectral element method: Applications to the incompressible Navier-Stokes equations
    • S.J. Sherwin G.E. Karniadakis A triangular spectral element method: applications to the incompressible Navier-Stokes equations Computer Methods in Applied Mechanics and Engineering 123 1995 189-229
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.123 , pp. 189-229
    • Sherwin, S.J.1    Karniadakis, G.E.2
  • 30
    • 0034190273 scopus 로고    scopus 로고
    • A generalized diagonal mass matrix spectral element method for non-quadrilateral elements
    • M.A. Taylor B.A. Wingate A generalized diagonal mass matrix spectral element method for non-quadrilateral elements Applied Numerical Mathematics 33 2000 259-265
    • (2000) Applied Numerical Mathematics , vol.33 , pp. 259-265
    • Taylor, M.A.1    Wingate, B.A.2
  • 31
    • 0346932404 scopus 로고    scopus 로고
    • A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements
    • T. Warburton L.F. Pavarino J.S. Hesthaven A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements Journal of Computational Physics 164 2000 1-21
    • (2000) Journal of Computational Physics , vol.164 , pp. 1-21
    • Warburton, T.1    Pavarino, L.F.2    Hesthaven, J.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.